In Exercises 35–48, use an appropriate substitution and then a trigono- metric substitution to evaluate the integrals. cIn 4 cIn (4/3) e' dt e' dt Ve?t + 9 35. 36. In (3/4) (1 + e2) 3/2 •1/4 2 dt dy Jur Vi + 4tVi 38. 37. i yV1 + (In y)² 1/12 dx dx 39. 40. 1 + x? xVx? х dx Vx² dx 42. 41. Vi – x² V1 – (In x)² -dx х dx 43. 44. x In x V1 + x* х dx 45. 46. dx. х (Hint: Let u = x3/2.) (Hint: Let x = u².) Vx – 2 dx /VivT [Vavi-ide - x dx 47. 48. Vx – 1

In Exercises 35–48, use an appropriate substitution and then a trigono- metric substitution to evaluate the integrals. cIn 4 cIn (4/3) e' dt e' dt Ve?t + 9 35. 36. In (3/4) (1 + e2) 3/2 •1/4 2 dt dy Jur Vi + 4tVi 38. 37. i yV1 + (In y)² 1/12 dx dx 39. 40. 1 + x? xVx? х dx Vx² dx 42. 41. Vi – x² V1 – (In x)² -dx х dx 43. 44. x In x V1 + x* х dx 45. 46. dx. х (Hint: Let u = x3/2.) (Hint: Let x = u².) Vx – 2 dx /VivT [Vavi-ide - x dx 47. 48. Vx – 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 30EQ

See similar textbooks